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Finding the Fourth Proportional to 768,733,790.07, 1,154,940,254.14 and 492,925,375.32

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Solution

The fourth proportional to 768,733,790.07, 1,154,940,254.14 and 492,925,375.32 is: 740,567,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,733,790.07 : 1,154,940,254.14 = 492,925,375.32 : x
  2. Step 2: Convert to fraction form
    768,733,790.07/1,154,940,254.14 = 492,925,375.32/x
  3. Step 3: Cross multiply
    768,733,790.07x = 1,154,940,254.14 × 492,925,375.32
  4. Step 4: Simplify right side
    768,733,790.07x = 569,299,358,244,135,744
  5. Step 5: Solve for x
    x = 569,299,358,244,135,744/768,733,790.07
  6. Step 6: Final answer
    x = 740,567,626.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.